相参频率捷变雷达目标稀疏重建性能边界综述

相比频率固定的脉冲多普勒体制, 频率捷变体制在抗干扰方面具有显著优势。但在该体制下, 基于匹配滤波的信号处理算法存在旁瓣平台问题, 难以与动目标检测兼容。压缩感知理论将目标参数估计建模作为欠定方程求解, 为该问题提供了解决思路。在相参频率捷变雷达中, 压缩感知能否准确重建目标是一个基础性问题。本文梳理了针对该问题的相关研究, 借助相变理论与相变曲线的解析表达式, 定量描述了捷变频雷达重建目标的成功概率与主要系统和目标参数之间的关系; 该理论性能边界与仿真实际所能达到的性能相接近。此外, 还探讨了现有成果在实际应用中的价值, 展望了未来研究方向。

Review of Performance bounds on sparse target recovery using coherent frequency agile radar

Frequency agile radar (FAR) significantly outperforms the traditional pulse-Doppler radar in the term of electronic counter-countermeasures, which applies constant carrier frequencies. However, FAR that uses matched filtering encounters problem of severe sidelobe pedestal, hindering its compatibility with moving target detection. Compressed sensing (CS) methods reconstruct target parameters by solving an under determined linear equation, hence relieve the sidelobe pedestal issue. It is a fundamental study to analyze whether FAR exactly recovers target with CS methods. This paper comprehensively reviews the state-of-the-art researches in this topic. Recent efforts derive closed-form phase transition curves, and reveal that these curves explicitly demonstrate the relationship between success rates of sparse recovery and parameters of the radar system as well as the observed scene. The theoretical performance bound is approximate to the results in practical simulations. The applicability of these theoretical results in practical scenarios and future research directions are discussed.